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Simplifying (u2 + -7u + -2) + (5u2 + -6u + 4) = 0 Reorder the terms: (-2 + -7u + u2) + (5u2 + -6u + 4) = 0 Remove parenthesis around (-2 + -7u + u2) -2 + -7u + u2 + (5u2 + -6u + 4) = 0 Reorder the terms: -2 + -7u + u2 + (4 + -6u + 5u2) = 0 Remove parenthesis around (4 + -6u + 5u2) -2 + -7u + u2 + 4 + -6u + 5u2 = 0 Reorder the terms: -2 + 4 + -7u + -6u + u2 + 5u2 = 0 Combine like terms: -2 + 4 = 2 2 + -7u + -6u + u2 + 5u2 = 0 Combine like terms: -7u + -6u = -13u 2 + -13u + u2 + 5u2 = 0 Combine like terms: u2 + 5u2 = 6u2 2 + -13u + 6u2 = 0 Solving 2 + -13u + 6u2 = 0 Solving for variable 'u'. Factor a trinomial. (1 + -6u)(2 + -1u) = 0Subproblem 1
Set the factor '(1 + -6u)' equal to zero and attempt to solve: Simplifying 1 + -6u = 0 Solving 1 + -6u = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6u = 0 + -1 -6u = 0 + -1 Combine like terms: 0 + -1 = -1 -6u = -1 Divide each side by '-6'. u = 0.1666666667 Simplifying u = 0.1666666667Subproblem 2
Set the factor '(2 + -1u)' equal to zero and attempt to solve: Simplifying 2 + -1u = 0 Solving 2 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1u = 0 + -2 -1u = 0 + -2 Combine like terms: 0 + -2 = -2 -1u = -2 Divide each side by '-1'. u = 2 Simplifying u = 2Solution
u = {0.1666666667, 2}
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